GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 28 Feb 2020, 01:46

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If x < 0, is y/x < 1 ? (1) y < x (2) y < 0

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 61544
If x < 0, is y/x < 1 ? (1) y < x (2) y < 0  [#permalink]

### Show Tags

14 Jan 2020, 04:27
00:00

Difficulty:

45% (medium)

Question Stats:

71% (01:15) correct 29% (01:01) wrong based on 21 sessions

### HideShow timer Statistics

If $$x < 0$$, is $$\frac{y}{x} < 1$$ ?

(1) $$y < x$$

(2) $$y < 0$$

_________________
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4359
Re: If x < 0, is y/x < 1 ? (1) y < x (2) y < 0  [#permalink]

### Show Tags

14 Jan 2020, 06:24
Top Contributor
Bunuel wrote:
If $$x < 0$$, is $$\frac{y}{x} < 1$$ ?

(1) $$y < x$$

(2) $$y < 0$$

Target question: Is $$\frac{y}{x} < 1$$ ?
This is a good candidate for rephrasing the target question.

Since x is NEGATIVE, we can take: $$\frac{y}{x} < 1$$...
...and multiply both sides by x to get: $$y > x$$ [aside: since we multiplied both sides of an inequality by a negative value, we reverse the direction of the inequality symbol]

REPHRASED target question: Is $$y > x$$ ?
Aside: Here’s a video with tips on rephrasing the target question: http://www.gmatprepnow.com/module/gmat-data-sufficiency?id=1100

Once we've rephrased the target question, we can easily deal with the two statements

Statement 1: $$y < x$$
So, the answer to the REPHRASED target question is NO, y is NOT greater than x
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: $$y < 0$$
So we now know that x and y are both negative.
This is not enough information to answer the REPHRASED target question. Here are two possible cases:
Case a: x = -1 and y = -2. In this case, the answer to the REPHRASED target question is NO, y is NOT greater than x
Case b: x = -2 and y = -1. In this case, the answer to the REPHRASED target question is YES, y IS greater than x
Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5922
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If x < 0, is y/x < 1 ? (1) y < x (2) y < 0  [#permalink]

### Show Tags

14 Jan 2020, 08:08
given
x<0
x is -ve
and find y/x<1
#1
y<x
so if x = -1 , y =-2
so y/x<1 ; no
sufficient
#2
y<0
in that case y=x is possible so we get both yes and no for y/x<1
Insufficient
IMO A

Bunuel wrote:
If $$x < 0$$, is $$\frac{y}{x} < 1$$ ?

(1) $$y < x$$

(2) $$y < 0$$
Re: If x < 0, is y/x < 1 ? (1) y < x (2) y < 0   [#permalink] 14 Jan 2020, 08:08
Display posts from previous: Sort by